A cord is used to lower vertically a block of mas M a distance d at a constant d

Question

A cord is used to lower vertically a block of mas M a distance d at a constant downward acceleration of g/4.Calculate the work done by the cord on the block. There is a 12 story building. Each story is 3 m high. A motor pump of power 1 KW is fitted at the ground. The cross-sectional area of the pipe is 5cm^2. Upto which story will the water reach? Every minute, 4 * 10^12 g mass of sun is being converted to energy per minute. What is the power of the sun in (a) Kilowatts (KW) (b) Horsepower (hp) Determine the work a hiker must do on a 15.0 kg backpack to carry it up a hill of height h = 10 m, as shown in Figure. Determine also the work done by the gravity on the backpack and the net work done on the backpack.

Explanation / Answer

1.

force equation for the motion of the block is given as

Mg - T = Ma

Mg - T = Mg/4

T = (0.75) Mg

work done by cord is given as

W = T d Cos180

W = - (0.75) Mg d

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